Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 702.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
702.c1 | 702f1 | \([1, -1, 0, -648, 9536]\) | \(-1115480294811/760408064\) | \(-20531017728\) | \([]\) | \(660\) | \(0.67922\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 702.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 702.c do not have complex multiplication.Modular form 702.2.a.c
sage: E.q_eigenform(10)